A nurse is preparing to administer tobramycin 2.5 mg/kg/day IM divided in equal doses every 8 hr to a school-age child who weighs 48 lb. Available is tobramycin injection 40 mg/mL. How many mL should the nurse administer per dose? (Round the answer to the nearest hundredth. Use a leading zero if it applies. Do not use a trailing zero.)
Explanation & Rationale
Identify the given information: Dose of tobramycin: 2.5 mg/kg/day Weight of the child: 48 lb Concentration of tobramycin injection: 40 mg/mL Convert the child's weight from pounds to kilograms: 1 lb ≈ 0.453592 kg Calculate the total daily dose of tobramycin in mg: Total daily dose = Dose/kg/day x Weight (kg) Substitute the values: Total daily dose = 2.5 mg/kg/day x 48 lb x (0.453592 kg/1 lb) Total daily dose ≈ 54.43 mg Calculate the dose per dose (every 8 hours): Dose per dose = Total daily dose / 3 Substitute the values: Dose per dose = 54.43 mg / 3 Dose per dose ≈ 18.14 mg Calculate the volume of tobramycin injection to be administered: Volume = Dose per dose (mg) / Concentration (mg/mL) Substitute the values: Volume = 18.14 mg / 40 mg/mL Volume ≈ 0.45 mL Round the answer to the nearest hundredth: Volume ≈ 0.45 mL